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Question: Answered & Verified by Expert
The number $(2+\sqrt{2})^{2}$ is
MathematicsSets and RelationsNDANDA 2008 (Phase 2)
Options:
  • A a natural number
  • B an irrational number
  • C a rational number
  • D a whole number
Solution:
1387 Upvotes Verified Answer
The correct answer is: an irrational number
$(2+\sqrt{2})^{2}=4+2+4 \sqrt{2}=6+4 \sqrt{2}$
So, it is an irrational number

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